Solve the inequalities -6 (leq) 4 – 2x

**A.**

-1**B.**

-1**C.**

-1 (leq) x (leq) 6**D.**

-1 (leq) x

##### Correct Answer: Option B

##### Explanation

-6 (leq) 4 – 2x

split inequalities into two and solve each part as follows:

-6 (leq) 4 – 2x = -6 – 4 (leq) -2x

-10 (leq) -2x

(frac{-10}{-2}) (geq) (frac{-2x}{-2})

giving 5 (geq) x or x (leq) 5

4 – 2x

-2x + x

-x

(frac{-x}{-1}) > (frac{1}{-1})

giving x > -1 or -1

Combining the two results, gives -1

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